5761917122976 has 480 divisors, whose sum is σ = 20122158672000. Its totient is φ = 1582520260608.

The previous prime is 5761917122909. The next prime is 5761917122981. The reversal of 5761917122976 is 6792217191675.

5761917122976 is a `hidden beast` number, since 5 + 7 + 619 + 1 + 7 + 1 + 2 + 2 + 9 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 120470395 + ... + 120518213.

It is an arithmetic number, because the mean of its divisors is an integer number (41921163900).

Almost surely, 2^{5761917122976} is an apocalyptic number.

5761917122976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5761917122976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10061079336000).

5761917122976 is an abundant number, since it is smaller than the sum of its proper divisors (14360241549024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5761917122976 is a wasteful number, since it uses less digits than its factorization.

5761917122976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48106 (or 48089 counting only the distinct ones).

The product of its digits is 20003760, while the sum is 63.

The spelling of 5761917122976 in words is "five trillion, seven hundred sixty-one billion, nine hundred seventeen million, one hundred twenty-two thousand, nine hundred seventy-six".